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GCD of 376, 442, 592, 702 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 376, 442, 592, 702 quickly. Get the easiest ways to solve the greatest common divisor of 376, 442, 592, 702 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 376, 442, 592, 702 with Factoring?

Given Input numbers are 376, 442, 592, 702

In the factoring method, we have to find the divisors of all numbers

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (376, 442, 592, 702) = 2.

Find GCD of 376, 442, 592, 702 using Prime Factorization

Given numbers are 376, 442, 592, 702

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 442 are 2 x 13 x 17

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 376, 442, 592, 702 is 2.

Steps to Calculate GCD of 376, 442, 592, 702 using LCM Formula

Given numbers are 376, 442, 592, 702

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(376, 442) = 83096

GCD(376, 442) = ( 376 x 442 ) / 83096

= 376 / 442

= 376


Step2:

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

= 2 / 592

= 2


Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


So, Greatest Common Divisor of 376, 442, 592, 702 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 376, 442, 592, 702

Given numbers are 376, 442, 592, 702
The greatest common divisor of numbers 376, 442, 592, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 442, 592, 702 is 2.

FAQs on GCD of 376, 442, 592, 702 Calculator

1. What is the GCD of 376, 442, 592, 702?

GCD of given numbers 376, 442, 592, 702 is 2


2. How to calculate the greatest common divisor of 376, 442, 592, 702?

We can find the highest common divisor of 376, 442, 592, 702 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 376, 442, 592, 702 i.e 2.


3. How can I use the GCD of 376, 442, 592, 702Calculator?

Out the numbers 376, 442, 592, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.